![]() ![]() ![]() Each module forms one face of the finished cube. The six modules required for this design were developed from the traditional Japanese paperfold commonly known as the menko. Isao Honda's World of Origami (published in 1965) appears to have the same model, where it is called a "cubical box". The cube is pictured twice (from slightly different angles) and is identified in the accompanying text as a tamatebako (magic treasure chest). It contains a print that shows a group of traditional origami models, one of which is a modular cube. The first historical evidence for a modular origami design comes from a Japanese book by Hayato Ohoka published in 1734 called Ranma Zushiki. History A kusudama, the traditional Japanese precursor to modular origami Any other usage is generally discouraged. Typically this means using separate linking units hidden from sight to hold parts of the construction together. More than one type of module can still be used. There is a common misconception that treats all multi-piece origami as modular. The additional restrictions that distinguish modular origami from other forms of multi-piece origami are using many identical copies of any folded unit, and linking them together in a symmetrical or repeating fashion to complete the model. However, all the other rules of origami still apply, so the use of glue, thread, or any other fastening that is not a part of the sheet of paper is not generally acceptable in modular origami. Modular origami can be classified as a sub-set of multi-piece origami, since the rule of restriction to one sheet of paper is abandoned. These insertions create tension or friction that holds the model together.ĭefinition and restrictions Examples of modular origami made up of Sonobe units Modular origami or unit origami is a two-stage paperfolding technique in which several, or sometimes many, sheets of paper are first folded into individual modules, or units, and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. Modular origami A stellated icosahedron made from custom papers ( May 2009) ( Learn how and when to remove this template message) Please help to improve this article by introducing more precise citations. These 3D shapes have a lot of symmetry, though not as much as the Platonic solids.This article includes a list of general references, but it lacks sufficient corresponding inline citations. Questions about larger models will lead you to the Archimedean solids and the Johnson solids. Questions about coloring will lead you to the mathematics of graphs and networks (and big questions that remained unsolved for many centuries). One seemingly innocent question can easily lead to a mathematical rabbit hole. ![]() Once you've mastered the basic structure of each 3D shape, you may find yourself (as others have done) pondering deeper mathematical questions.Ĭan you arrange the sonobe units so two units of the same color never touch, if you only have three colors?Īre larger symmetric shapes possible? (Answer: yes!)Īre there relationships between the different 3D shapes? (For example, the icosahedron is basically built of triangles, but can you spot the pentagons lurking within? Or the triangles in the dodecahedron?) Sonobe units, like these ones piled in a stack, can be put together to create 3D shapes. So, for a little effort you are rewarded with a vast number of models to explore. Many modular origami patterns, although they may use different units, have a similar method of combining units into a bigger creation. The building blocks, called units, are typically straightforward to fold the mathematical skill comes in assembling the larger structure and discovering the patterns within them. That's where you use several pieces of folded paper as "building blocks" to create a larger, often symmetrical structure. Any piece of origami will contain mathematical ideas and skills, and can take you on a fascinating, creative journey.Īs a geometer (mathematician who studies geometry), my favorite technique is modular origami. I'm a mathematician whose hobby is origami, and I love introducing people to mathematical ideas through crafts like paper folding. Both activities, however, share similar skills: precision, the ability to follow an algorithm, an intuition for shape, and a search for pattern and symmetry. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |